Numerical approximation for the phase-field transition system

Viorel Arnăutu; Costică Morosanu

doi:10.1080/00207169608804538

Numerical approximation for the phase-field transition system

International Journal of Computer Mathematics ◽

10.1080/00207169608804538 ◽

1996 ◽

Vol 62 (3-4) ◽

pp. 209-221 ◽

Cited By ~ 5

Author(s):

Viorel Arnăutu ◽

Costică Morosanu

Keyword(s):

Phase Field ◽

Numerical Approximation ◽

Transition System ◽

Field Transition

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NUMERICAL APPROXIMATION OF THE PHASE-FIELD TRANSITION SYSTEM WITH NON-HOMOGENEOUS CAUCHY-NEUMANN BOUNDARY CONDITIONS IN BOTH UNKNOWN FUNCTIONS VIA FRACTIONAL STEPS METHOD

Journal of Applied Analysis & Computation ◽

10.11948/2013028 ◽

2013 ◽

Vol 3 (4) ◽

pp. 377-397 ◽

Cited By ~ 1

Author(s):

Armel Andami Ovono ◽

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Numerical Approximation ◽

Neumann Boundary ◽

Transition System ◽

Neumann Boundary Conditions ◽

Field Transition

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Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy–Neumann Boundary Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630560902841120 ◽

2009 ◽

Vol 30 (3-4) ◽

pp. 199-213 ◽

Cited By ~ 10

Author(s):

T. Benincasa ◽

C. Moroşanu

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Neumann Boundary ◽

Transition System ◽

Neumann Boundary Conditions ◽

Field Transition

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Well-posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-015-0274-8 ◽

2015 ◽

Vol 18 (2) ◽

pp. 225-250 ◽

Cited By ~ 3

Author(s):

Costică Moroşanu

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Nonlinear Dynamic ◽

General Class ◽

Transition System ◽

Well Posedness ◽

Dynamic Boundary Conditions ◽

Polynomial Nonlinearity ◽

Dynamic Boundary ◽

Field Transition

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A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System

Journal of Optimization Theory and Applications ◽

10.1007/s10957-010-9742-x ◽

2010 ◽

Vol 148 (1) ◽

pp. 14-30 ◽

Cited By ~ 10

Author(s):

Tommaso Benincasa ◽

Angelo Favini ◽

Costică Moroşanu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Phase Field ◽

Transition System ◽

Product Formula ◽

Nonlinear Phase ◽

Nonhomogeneous Boundary ◽

Field Transition

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Modeling of the continuous casting process of steel via phase-field transition system. Fractional steps method

AIMS Mathematics ◽

10.3934/math.2019.3.648 ◽

2019 ◽

Vol 4 (3) ◽

pp. 648-662

Author(s):

Costică Moroşanu ◽

Keyword(s):

Continuous Casting ◽

Phase Field ◽

Casting Process ◽

Transition System ◽

Continuous Casting Process ◽

Field Transition

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State-Constrained Optimal Control for the Phase-Field Transition System

Numerical Functional Analysis and Optimization ◽

10.1080/01630560701250119 ◽

2007 ◽

Vol 28 (3-4) ◽

pp. 379-403 ◽

Cited By ~ 10

Author(s):

C. Moroşanu ◽

G. Wang

Keyword(s):

Optimal Control ◽

Phase Field ◽

Transition System ◽

Constrained Optimal Control ◽

Field Transition

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A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System

Journal of Optimization Theory and Applications ◽

10.1007/s10957-010-9743-9 ◽

2010 ◽

Vol 148 (1) ◽

pp. 31-45 ◽

Cited By ~ 2

Author(s):

Tommaso Benincasa ◽

Angelo Favini ◽

Costică Moroşanu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Phase Field ◽

Transition System ◽

Product Formula ◽

Nonlinear Phase ◽

Nonhomogeneous Boundary ◽

Field Transition

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The phase-field transition system with non-homogeneous Cauchy–Stefan–Boltzmann and homogeneous Neumann boundary conditions and non-constant thermal conductivity

Nonlinear Analysis ◽

10.1016/j.na.2013.04.001 ◽

2013 ◽

Vol 87 ◽

pp. 22-32 ◽

Cited By ~ 1

Author(s):

Costică Moroşanu

Keyword(s):

Thermal Conductivity ◽

Boundary Conditions ◽

Phase Field ◽

Neumann Boundary ◽

Transition System ◽

Neumann Boundary Conditions ◽

Constant Thermal Conductivity ◽

Field Transition

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Approximation of The Phase Field Transition System

Analysis and Optimal Control of Phase-Field ◽

10.2174/978160805350611201010043 ◽

2012 ◽

pp. 43-106

Author(s):

Bentham Science Publisher Bentham Science Publisher

Keyword(s):

Phase Field ◽

Transition System ◽

Field Transition

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Optimal Control Problems Governed By The Phase-Field Transition System

Analysis and Optimal Control of Phase-Field ◽

10.2174/978160805350611201010107 ◽

2012 ◽

pp. 107-184

Author(s):

Bentham Science Publisher Bentham Science Publisher

Keyword(s):

Optimal Control ◽

Phase Field ◽

Optimal Control Problems ◽

Transition System ◽

Control Problems ◽

Field Transition

Download Full-text